8001920 has 32 divisors (see below), whose sum is σ = 19131120. Its totient is φ = 3200512.

The previous prime is 8001911. The next prime is 8001949. The reversal of 8001920 is 291008.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 8001892 and 8001901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5612 + ... + 6891.

Almost surely, 2^8001920 is an apocalyptic number.

8001920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8001920 is an abundant number, since it is smaller than the sum of its proper divisors (11129200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8001920 is a wasteful number, since it uses less digits than its factorization.

8001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12522 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 8001920 is about 2828.7665156389. The cubic root of 8001920 is about 200.0159987202.

Adding to 8001920 its reverse (291008), we get a palindrome (8292928).

The spelling of 8001920 in words is "eight million, one thousand, nine hundred twenty".